Lagrangian caps

2013/03/04 by Eliashberg, Yakov, Murphy, Emmy · 1 citation
#53D05 #53D10 #53D12 #57N35 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1303.0586

Abstract

We establish an h-principle for exact Lagrangian embeddings with concave Legendrian boundary. We prove, in particular, that in the complement of the unit ball B in the standard symplectic \R²ⁿ, 2n≥ 6, there exists an embedded Lagrangian n-disc transversely attached to B along its Legendrian boundary.

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• Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots

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